With Acrobat Professional one not only gets the Action wizard for Acrobat but a hot folder, Watched folders, for distiller.
Watched folders once set up let one copy any PS file into the "In" sub folder of the "Watched" folder and Distiller when running, will detect the added file and process the PS file and move the resulting PDF to the "Watched" Out sub folder along with the log file and input PS file. If one has Distiller set up, only the log files for failed conversions will be kept.
I have folders on a network drive and feed files from my desktop and remote desktop at the same time and Distiller just chugs away. One can even designate multiple folders as "Watched" folders with no problems.
At one time I even had multiple desktops systems all pointing the same Watched folder into which I transferred over 1,500 PS files and each desktop processed the next free PS file in turn.
Note the Distiller application was running on a local system and only used networked folders for input files and saving output files. This is not a violation of using the application on a network server because the application was on a desktop not a network server.
Acrobat Help /Creating PDFs with Acrobat Distiller